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Finding the Fourth Proportional to 61,807.20, 92,710.80 and 42,780.30

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Solution

The fourth proportional to 61,807.20, 92,710.80 and 42,780.30 is: 64,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807.20 : 92,710.80 = 42,780.30 : x
  2. Step 2: Convert to fraction form
    61,807.20/92,710.80 = 42,780.30/x
  3. Step 3: Cross multiply
    61,807.20x = 92,710.80 × 42,780.30
  4. Step 4: Simplify right side
    61,807.20x = 3,966,195,837.24
  5. Step 5: Solve for x
    x = 3,966,195,837.24/61,807.20
  6. Step 6: Final answer
    x = 64,170.45

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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.