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Finding the Fourth Proportional to 130,792.16, 180,499.11 and 77,079.44

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Solution

The fourth proportional to 130,792.16, 180,499.11 and 77,079.44 is: 106,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,792.16 : 180,499.11 = 77,079.44 : x
  2. Step 2: Convert to fraction form
    130,792.16/180,499.11 = 77,079.44/x
  3. Step 3: Cross multiply
    130,792.16x = 180,499.11 × 77,079.44
  4. Step 4: Simplify right side
    130,792.16x = 13,912,770,319.30
  5. Step 5: Solve for x
    x = 13,912,770,319.30/130,792.16
  6. Step 6: Final answer
    x = 106,373.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.