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Finding the Fourth Proportional to 55,898.52, 77,136.75 and 30,748.02

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Solution

The fourth proportional to 55,898.52, 77,136.75 and 30,748.02 is: 42,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,898.52 : 77,136.75 = 30,748.02 : x
  2. Step 2: Convert to fraction form
    55,898.52/77,136.75 = 30,748.02/x
  3. Step 3: Cross multiply
    55,898.52x = 77,136.75 × 30,748.02
  4. Step 4: Simplify right side
    55,898.52x = 2,371,802,331.74
  5. Step 5: Solve for x
    x = 2,371,802,331.74/55,898.52
  6. Step 6: Final answer
    x = 42,430.50

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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.