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Finding the Fourth Proportional to 130,486, 180,070.68 and 70,870

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Solution

The fourth proportional to 130,486, 180,070.68 and 70,870 is: 97,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,486 : 180,070.68 = 70,870 : x
  2. Step 2: Convert to fraction form
    130,486/180,070.68 = 70,870/x
  3. Step 3: Cross multiply
    130,486x = 180,070.68 × 70,870
  4. Step 4: Simplify right side
    130,486x = 12,761,609,091.60
  5. Step 5: Solve for x
    x = 12,761,609,091.60/130,486
  6. Step 6: Final answer
    x = 97,800.60

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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.