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Finding the Fourth Proportional to 61,686.64, 85,038.42 and 40,429

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Solution

The fourth proportional to 61,686.64, 85,038.42 and 40,429 is: 55,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686.64 : 85,038.42 = 40,429 : x
  2. Step 2: Convert to fraction form
    61,686.64/85,038.42 = 40,429/x
  3. Step 3: Cross multiply
    61,686.64x = 85,038.42 × 40,429
  4. Step 4: Simplify right side
    61,686.64x = 3,438,018,282.18
  5. Step 5: Solve for x
    x = 3,438,018,282.18/61,686.64
  6. Step 6: Final answer
    x = 55,733.60

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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.