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Finding the Fourth Proportional to 130,518, 180,114.84 and 70,902

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Solution

The fourth proportional to 130,518, 180,114.84 and 70,902 is: 97,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,518 : 180,114.84 = 70,902 : x
  2. Step 2: Convert to fraction form
    130,518/180,114.84 = 70,902/x
  3. Step 3: Cross multiply
    130,518x = 180,114.84 × 70,902
  4. Step 4: Simplify right side
    130,518x = 12,770,502,385.68
  5. Step 5: Solve for x
    x = 12,770,502,385.68/130,518
  6. Step 6: Final answer
    x = 97,844.76

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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.