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Finding the Fourth Proportional to 56,461.68, 77,721.56 and 48,801.47

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Solution

The fourth proportional to 56,461.68, 77,721.56 and 48,801.47 is: 67,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.68 : 77,721.56 = 48,801.47 : x
  2. Step 2: Convert to fraction form
    56,461.68/77,721.56 = 48,801.47/x
  3. Step 3: Cross multiply
    56,461.68x = 77,721.56 × 48,801.47
  4. Step 4: Simplify right side
    56,461.68x = 3,792,925,990.09
  5. Step 5: Solve for x
    x = 3,792,925,990.09/56,461.68
  6. Step 6: Final answer
    x = 67,176.99

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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.