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Finding the Fourth Proportional to 207,897.83, 286,898.76 and 112,404.30

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Solution

The fourth proportional to 207,897.83, 286,898.76 and 112,404.30 is: 155,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,897.83 : 286,898.76 = 112,404.30 : x
  2. Step 2: Convert to fraction form
    207,897.83/286,898.76 = 112,404.30/x
  3. Step 3: Cross multiply
    207,897.83x = 286,898.76 × 112,404.30
  4. Step 4: Simplify right side
    207,897.83x = 32,248,654,288.67
  5. Step 5: Solve for x
    x = 32,248,654,288.67/207,897.83
  6. Step 6: Final answer
    x = 155,117.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.