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Finding the Fourth Proportional to 130,564.50, 180,180.15 and 70,948.50

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Solution

The fourth proportional to 130,564.50, 180,180.15 and 70,948.50 is: 97,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,564.50 : 180,180.15 = 70,948.50 : x
  2. Step 2: Convert to fraction form
    130,564.50/180,180.15 = 70,948.50/x
  3. Step 3: Cross multiply
    130,564.50x = 180,180.15 × 70,948.50
  4. Step 4: Simplify right side
    130,564.50x = 12,783,511,372.28
  5. Step 5: Solve for x
    x = 12,783,511,372.28/130,564.50
  6. Step 6: Final answer
    x = 97,909.55

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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.