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Finding the Fourth Proportional to 357,134.52, 535,709.88 and 90,894

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Solution

The fourth proportional to 357,134.52, 535,709.88 and 90,894 is: 136,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,134.52 : 535,709.88 = 90,894 : x
  2. Step 2: Convert to fraction form
    357,134.52/535,709.88 = 90,894/x
  3. Step 3: Cross multiply
    357,134.52x = 535,709.88 × 90,894
  4. Step 4: Simplify right side
    357,134.52x = 48,692,813,832.72
  5. Step 5: Solve for x
    x = 48,692,813,832.72/357,134.52
  6. Step 6: Final answer
    x = 136,343.06

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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.