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Finding the Fourth Proportional to 212,931.42, 319,396.65 and 86,640.24

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Solution

The fourth proportional to 212,931.42, 319,396.65 and 86,640.24 is: 129,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,931.42 : 319,396.65 = 86,640.24 : x
  2. Step 2: Convert to fraction form
    212,931.42/319,396.65 = 86,640.24/x
  3. Step 3: Cross multiply
    212,931.42x = 319,396.65 × 86,640.24
  4. Step 4: Simplify right side
    212,931.42x = 27,672,602,411.20
  5. Step 5: Solve for x
    x = 27,672,602,411.20/212,931.42
  6. Step 6: Final answer
    x = 129,960.16

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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.