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Finding the Fourth Proportional to 261,970.90, 392,956.35 and 156,735.70

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Solution

The fourth proportional to 261,970.90, 392,956.35 and 156,735.70 is: 235,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,970.90 : 392,956.35 = 156,735.70 : x
  2. Step 2: Convert to fraction form
    261,970.90/392,956.35 = 156,735.70/x
  3. Step 3: Cross multiply
    261,970.90x = 392,956.35 × 156,735.70
  4. Step 4: Simplify right side
    261,970.90x = 61,590,288,586.70
  5. Step 5: Solve for x
    x = 61,590,288,586.70/261,970.90
  6. Step 6: Final answer
    x = 235,103.55

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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.