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Finding the Fourth Proportional to 61,547.82, 92,321.66 and 19,431.16

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Solution

The fourth proportional to 61,547.82, 92,321.66 and 19,431.16 is: 29,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,547.82 : 92,321.66 = 19,431.16 : x
  2. Step 2: Convert to fraction form
    61,547.82/92,321.66 = 19,431.16/x
  3. Step 3: Cross multiply
    61,547.82x = 92,321.66 × 19,431.16
  4. Step 4: Simplify right side
    61,547.82x = 1,793,916,946.93
  5. Step 5: Solve for x
    x = 1,793,916,946.93/61,547.82
  6. Step 6: Final answer
    x = 29,146.72

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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.