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Finding the Fourth Proportional to 102,434.65, 141,348.40 and 62,158.21

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Solution

The fourth proportional to 102,434.65, 141,348.40 and 62,158.21 is: 85,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434.65 : 141,348.40 = 62,158.21 : x
  2. Step 2: Convert to fraction form
    102,434.65/141,348.40 = 62,158.21/x
  3. Step 3: Cross multiply
    102,434.65x = 141,348.40 × 62,158.21
  4. Step 4: Simplify right side
    102,434.65x = 8,785,963,021.60
  5. Step 5: Solve for x
    x = 8,785,963,021.60/102,434.65
  6. Step 6: Final answer
    x = 85,771.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.