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Finding the Fourth Proportional to 130,897.50, 180,640.47 and 71,281.50

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Solution

The fourth proportional to 130,897.50, 180,640.47 and 71,281.50 is: 98,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,897.50 : 180,640.47 = 71,281.50 : x
  2. Step 2: Convert to fraction form
    130,897.50/180,640.47 = 71,281.50/x
  3. Step 3: Cross multiply
    130,897.50x = 180,640.47 × 71,281.50
  4. Step 4: Simplify right side
    130,897.50x = 12,876,323,662.31
  5. Step 5: Solve for x
    x = 12,876,323,662.31/130,897.50
  6. Step 6: Final answer
    x = 98,369.52

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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.