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Finding the Fourth Proportional to 102,009.40, 153,014.10 and 42,911.80

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Solution

The fourth proportional to 102,009.40, 153,014.10 and 42,911.80 is: 64,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.40 : 153,014.10 = 42,911.80 : x
  2. Step 2: Convert to fraction form
    102,009.40/153,014.10 = 42,911.80/x
  3. Step 3: Cross multiply
    102,009.40x = 153,014.10 × 42,911.80
  4. Step 4: Simplify right side
    102,009.40x = 6,566,110,456.38
  5. Step 5: Solve for x
    x = 6,566,110,456.38/102,009.40
  6. Step 6: Final answer
    x = 64,367.70

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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.