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Finding the Fourth Proportional to 142,124.70, 212,927.85 and 115,686.30

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Solution

The fourth proportional to 142,124.70, 212,927.85 and 115,686.30 is: 173,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.70 : 212,927.85 = 115,686.30 : x
  2. Step 2: Convert to fraction form
    142,124.70/212,927.85 = 115,686.30/x
  3. Step 3: Cross multiply
    142,124.70x = 212,927.85 × 115,686.30
  4. Step 4: Simplify right side
    142,124.70x = 24,632,835,133.46
  5. Step 5: Solve for x
    x = 24,632,835,133.46/142,124.70
  6. Step 6: Final answer
    x = 173,318.47

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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.