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Finding the Fourth Proportional to 55,798.50, 77,001.93 and 30,648

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Solution

The fourth proportional to 55,798.50, 77,001.93 and 30,648 is: 42,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,798.50 : 77,001.93 = 30,648 : x
  2. Step 2: Convert to fraction form
    55,798.50/77,001.93 = 30,648/x
  3. Step 3: Cross multiply
    55,798.50x = 77,001.93 × 30,648
  4. Step 4: Simplify right side
    55,798.50x = 2,359,955,150.64
  5. Step 5: Solve for x
    x = 2,359,955,150.64/55,798.50
  6. Step 6: Final answer
    x = 42,294.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.