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Finding the Fourth Proportional to 197,681.80, 296,328.30 and 97,857.40

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Solution

The fourth proportional to 197,681.80, 296,328.30 and 97,857.40 is: 146,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,681.80 : 296,328.30 = 97,857.40 : x
  2. Step 2: Convert to fraction form
    197,681.80/296,328.30 = 97,857.40/x
  3. Step 3: Cross multiply
    197,681.80x = 296,328.30 × 97,857.40
  4. Step 4: Simplify right side
    197,681.80x = 28,997,916,984.42
  5. Step 5: Solve for x
    x = 28,997,916,984.42/197,681.80
  6. Step 6: Final answer
    x = 146,689.87

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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.