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Finding the Fourth Proportional to 254,897.71, 382,347.17 and 77,406.05

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Solution

The fourth proportional to 254,897.71, 382,347.17 and 77,406.05 is: 116,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,897.71 : 382,347.17 = 77,406.05 : x
  2. Step 2: Convert to fraction form
    254,897.71/382,347.17 = 77,406.05/x
  3. Step 3: Cross multiply
    254,897.71x = 382,347.17 × 77,406.05
  4. Step 4: Simplify right side
    254,897.71x = 29,595,985,017.49
  5. Step 5: Solve for x
    x = 29,595,985,017.49/254,897.71
  6. Step 6: Final answer
    x = 116,109.26

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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.