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Finding the Fourth Proportional to 113,756.55, 170,502 and 85,586.13

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Solution

The fourth proportional to 113,756.55, 170,502 and 85,586.13 is: 128,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,756.55 : 170,502 = 85,586.13 : x
  2. Step 2: Convert to fraction form
    113,756.55/170,502 = 85,586.13/x
  3. Step 3: Cross multiply
    113,756.55x = 170,502 × 85,586.13
  4. Step 4: Simplify right side
    113,756.55x = 14,592,606,337.26
  5. Step 5: Solve for x
    x = 14,592,606,337.26/113,756.55
  6. Step 6: Final answer
    x = 128,279.26

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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.