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Finding the Fourth Proportional to 197,510.59, 296,431.80 and 85,275.64

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Solution

The fourth proportional to 197,510.59, 296,431.80 and 85,275.64 is: 127,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,510.59 : 296,431.80 = 85,275.64 : x
  2. Step 2: Convert to fraction form
    197,510.59/296,431.80 = 85,275.64/x
  3. Step 3: Cross multiply
    197,510.59x = 296,431.80 × 85,275.64
  4. Step 4: Simplify right side
    197,510.59x = 25,278,411,461.35
  5. Step 5: Solve for x
    x = 25,278,411,461.35/197,510.59
  6. Step 6: Final answer
    x = 127,985.09

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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.