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Finding the Fourth Proportional to 102,392.91, 141,302.91 and 57,073.82

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Solution

The fourth proportional to 102,392.91, 141,302.91 and 57,073.82 is: 78,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.91 : 141,302.91 = 57,073.82 : x
  2. Step 2: Convert to fraction form
    102,392.91/141,302.91 = 57,073.82/x
  3. Step 3: Cross multiply
    102,392.91x = 141,302.91 × 57,073.82
  4. Step 4: Simplify right side
    102,392.91x = 8,064,696,144.30
  5. Step 5: Solve for x
    x = 8,064,696,144.30/102,392.91
  6. Step 6: Final answer
    x = 78,762.25

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1.5x scale

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.