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Finding the Fourth Proportional to 61,776, 85,256.64 and 35,280

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Solution

The fourth proportional to 61,776, 85,256.64 and 35,280 is: 48,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 85,256.64 = 35,280 : x
  2. Step 2: Convert to fraction form
    61,776/85,256.64 = 35,280/x
  3. Step 3: Cross multiply
    61,776x = 85,256.64 × 35,280
  4. Step 4: Simplify right side
    61,776x = 3,007,854,259.20
  5. Step 5: Solve for x
    x = 3,007,854,259.20/61,776
  6. Step 6: Final answer
    x = 48,689.69

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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.