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Finding the Fourth Proportional to 130,792.48, 180,491.90 and 77,079.76

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Solution

The fourth proportional to 130,792.48, 180,491.90 and 77,079.76 is: 106,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,792.48 : 180,491.90 = 77,079.76 : x
  2. Step 2: Convert to fraction form
    130,792.48/180,491.90 = 77,079.76/x
  3. Step 3: Cross multiply
    130,792.48x = 180,491.90 × 77,079.76
  4. Step 4: Simplify right side
    130,792.48x = 13,912,272,333.94
  5. Step 5: Solve for x
    x = 13,912,272,333.94/130,792.48
  6. Step 6: Final answer
    x = 106,369.05

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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.