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Finding the Fourth Proportional to 56,155.50, 77,494 and 30,661.78

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Solution

The fourth proportional to 56,155.50, 77,494 and 30,661.78 is: 42,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,155.50 : 77,494 = 30,661.78 : x
  2. Step 2: Convert to fraction form
    56,155.50/77,494 = 30,661.78/x
  3. Step 3: Cross multiply
    56,155.50x = 77,494 × 30,661.78
  4. Step 4: Simplify right side
    56,155.50x = 2,376,103,979.32
  5. Step 5: Solve for x
    x = 2,376,103,979.32/56,155.50
  6. Step 6: Final answer
    x = 42,312.93

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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.