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Finding the Fourth Proportional to 197,866.61, 296,307.59 and 138,423.95

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Solution

The fourth proportional to 197,866.61, 296,307.59 and 138,423.95 is: 207,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,866.61 : 296,307.59 = 138,423.95 : x
  2. Step 2: Convert to fraction form
    197,866.61/296,307.59 = 138,423.95/x
  3. Step 3: Cross multiply
    197,866.61x = 296,307.59 × 138,423.95
  4. Step 4: Simplify right side
    197,866.61x = 41,016,066,330.66
  5. Step 5: Solve for x
    x = 41,016,066,330.66/197,866.61
  6. Step 6: Final answer
    x = 207,291.50

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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.