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Finding the Fourth Proportional to 130,558, 180,170.52 and 70,942

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Solution

The fourth proportional to 130,558, 180,170.52 and 70,942 is: 97,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,558 : 180,170.52 = 70,942 : x
  2. Step 2: Convert to fraction form
    130,558/180,170.52 = 70,942/x
  3. Step 3: Cross multiply
    130,558x = 180,170.52 × 70,942
  4. Step 4: Simplify right side
    130,558x = 12,781,657,029.84
  5. Step 5: Solve for x
    x = 12,781,657,029.84/130,558
  6. Step 6: Final answer
    x = 97,900.22

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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.