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Finding the Fourth Proportional to 91,312, 136,981.63 and 28,126.83

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Solution

The fourth proportional to 91,312, 136,981.63 and 28,126.83 is: 42,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,312 : 136,981.63 = 28,126.83 : x
  2. Step 2: Convert to fraction form
    91,312/136,981.63 = 28,126.83/x
  3. Step 3: Cross multiply
    91,312x = 136,981.63 × 28,126.83
  4. Step 4: Simplify right side
    91,312x = 3,852,859,020.13
  5. Step 5: Solve for x
    x = 3,852,859,020.13/91,312
  6. Step 6: Final answer
    x = 42,194.44

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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.