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Finding the Fourth Proportional to 51,565.66, 77,275.52 and 21,953.68

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Solution

The fourth proportional to 51,565.66, 77,275.52 and 21,953.68 is: 32,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,565.66 : 77,275.52 = 21,953.68 : x
  2. Step 2: Convert to fraction form
    51,565.66/77,275.52 = 21,953.68/x
  3. Step 3: Cross multiply
    51,565.66x = 77,275.52 × 21,953.68
  4. Step 4: Simplify right side
    51,565.66x = 1,696,482,037.91
  5. Step 5: Solve for x
    x = 1,696,482,037.91/51,565.66
  6. Step 6: Final answer
    x = 32,899.45

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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.