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Finding the Fourth Proportional to 130,905, 180,648.90 and 71,289

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Solution

The fourth proportional to 130,905, 180,648.90 and 71,289 is: 98,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,905 : 180,648.90 = 71,289 : x
  2. Step 2: Convert to fraction form
    130,905/180,648.90 = 71,289/x
  3. Step 3: Cross multiply
    130,905x = 180,648.90 × 71,289
  4. Step 4: Simplify right side
    130,905x = 12,878,279,432.10
  5. Step 5: Solve for x
    x = 12,878,279,432.10/130,905
  6. Step 6: Final answer
    x = 98,378.82

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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.