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Finding the Fourth Proportional to 102,005.80, 153,008.70 and 74,357.80

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Solution

The fourth proportional to 102,005.80, 153,008.70 and 74,357.80 is: 111,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.80 : 153,008.70 = 74,357.80 : x
  2. Step 2: Convert to fraction form
    102,005.80/153,008.70 = 74,357.80/x
  3. Step 3: Cross multiply
    102,005.80x = 153,008.70 × 74,357.80
  4. Step 4: Simplify right side
    102,005.80x = 11,377,390,312.86
  5. Step 5: Solve for x
    x = 11,377,390,312.86/102,005.80
  6. Step 6: Final answer
    x = 111,536.70

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1.5x scale

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.