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Finding the Fourth Proportional to 312,088.10, 468,132.17 and 75,430.71

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Solution

The fourth proportional to 312,088.10, 468,132.17 and 75,430.71 is: 113,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,088.10 : 468,132.17 = 75,430.71 : x
  2. Step 2: Convert to fraction form
    312,088.10/468,132.17 = 75,430.71/x
  3. Step 3: Cross multiply
    312,088.10x = 468,132.17 × 75,430.71
  4. Step 4: Simplify right side
    312,088.10x = 35,311,541,579.79
  5. Step 5: Solve for x
    x = 35,311,541,579.79/312,088.10
  6. Step 6: Final answer
    x = 113,146.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.