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Finding the Fourth Proportional to 152,713.08, 210,784.14 and 85,666.68

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Solution

The fourth proportional to 152,713.08, 210,784.14 and 85,666.68 is: 118,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,713.08 : 210,784.14 = 85,666.68 : x
  2. Step 2: Convert to fraction form
    152,713.08/210,784.14 = 85,666.68/x
  3. Step 3: Cross multiply
    152,713.08x = 210,784.14 × 85,666.68
  4. Step 4: Simplify right side
    152,713.08x = 18,057,177,470.46
  5. Step 5: Solve for x
    x = 18,057,177,470.46/152,713.08
  6. Step 6: Final answer
    x = 118,242.51

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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.