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Finding the Fourth Proportional to 140,005.70, 210,008.55 and 105,013.70

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Solution

The fourth proportional to 140,005.70, 210,008.55 and 105,013.70 is: 157,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,005.70 : 210,008.55 = 105,013.70 : x
  2. Step 2: Convert to fraction form
    140,005.70/210,008.55 = 105,013.70/x
  3. Step 3: Cross multiply
    140,005.70x = 210,008.55 × 105,013.70
  4. Step 4: Simplify right side
    140,005.70x = 22,053,774,867.14
  5. Step 5: Solve for x
    x = 22,053,774,867.14/140,005.70
  6. Step 6: Final answer
    x = 157,520.55

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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.