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Finding the Fourth Proportional to 138,274.32, 207,492.12 and 58,307.44

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Solution

The fourth proportional to 138,274.32, 207,492.12 and 58,307.44 is: 87,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,274.32 : 207,492.12 = 58,307.44 : x
  2. Step 2: Convert to fraction form
    138,274.32/207,492.12 = 58,307.44/x
  3. Step 3: Cross multiply
    138,274.32x = 207,492.12 × 58,307.44
  4. Step 4: Simplify right side
    138,274.32x = 12,098,334,337.37
  5. Step 5: Solve for x
    x = 12,098,334,337.37/138,274.32
  6. Step 6: Final answer
    x = 87,495.16

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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.