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Finding the Fourth Proportional to 66,607.82, 99,960.93 and 31,547.47

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Solution

The fourth proportional to 66,607.82, 99,960.93 and 31,547.47 is: 47,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,607.82 : 99,960.93 = 31,547.47 : x
  2. Step 2: Convert to fraction form
    66,607.82/99,960.93 = 31,547.47/x
  3. Step 3: Cross multiply
    66,607.82x = 99,960.93 × 31,547.47
  4. Step 4: Simplify right side
    66,607.82x = 3,153,514,282.61
  5. Step 5: Solve for x
    x = 3,153,514,282.61/66,607.82
  6. Step 6: Final answer
    x = 47,344.51

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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.