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Finding the Fourth Proportional to 55,476,978.40, 83,215,726.80 and 19,575,186.40

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Solution

The fourth proportional to 55,476,978.40, 83,215,726.80 and 19,575,186.40 is: 29,362,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476,978.40 : 83,215,726.80 = 19,575,186.40 : x
  2. Step 2: Convert to fraction form
    55,476,978.40/83,215,726.80 = 19,575,186.40/x
  3. Step 3: Cross multiply
    55,476,978.40x = 83,215,726.80 × 19,575,186.40
  4. Step 4: Simplify right side
    55,476,978.40x = 1,628,963,363,521,475.25
  5. Step 5: Solve for x
    x = 1,628,963,363,521,475.25/55,476,978.40
  6. Step 6: Final answer
    x = 29,362,871.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.