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Finding the Fourth Proportional to 85,959.46, 128,938.61 and 46,765.68

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Solution

The fourth proportional to 85,959.46, 128,938.61 and 46,765.68 is: 70,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,959.46 : 128,938.61 = 46,765.68 : x
  2. Step 2: Convert to fraction form
    85,959.46/128,938.61 = 46,765.68/x
  3. Step 3: Cross multiply
    85,959.46x = 128,938.61 × 46,765.68
  4. Step 4: Simplify right side
    85,959.46x = 6,029,901,541.08
  5. Step 5: Solve for x
    x = 6,029,901,541.08/85,959.46
  6. Step 6: Final answer
    x = 70,148.20

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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.