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Finding the Fourth Proportional to 61,280.80, 91,853.52 and 31,700.32

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Solution

The fourth proportional to 61,280.80, 91,853.52 and 31,700.32 is: 47,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,280.80 : 91,853.52 = 31,700.32 : x
  2. Step 2: Convert to fraction form
    61,280.80/91,853.52 = 31,700.32/x
  3. Step 3: Cross multiply
    61,280.80x = 91,853.52 × 31,700.32
  4. Step 4: Simplify right side
    61,280.80x = 2,911,785,977.13
  5. Step 5: Solve for x
    x = 2,911,785,977.13/61,280.80
  6. Step 6: Final answer
    x = 47,515.47

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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.