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Finding the Fourth Proportional to 310,616.63, 465,925.59 and 85,977.71

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Solution

The fourth proportional to 310,616.63, 465,925.59 and 85,977.71 is: 128,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,616.63 : 465,925.59 = 85,977.71 : x
  2. Step 2: Convert to fraction form
    310,616.63/465,925.59 = 85,977.71/x
  3. Step 3: Cross multiply
    310,616.63x = 465,925.59 × 85,977.71
  4. Step 4: Simplify right side
    310,616.63x = 40,059,214,165.70
  5. Step 5: Solve for x
    x = 40,059,214,165.70/310,616.63
  6. Step 6: Final answer
    x = 128,966.74

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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.