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Finding the Fourth Proportional to 152,098.40, 209,894.56 and 87,580.32

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Solution

The fourth proportional to 152,098.40, 209,894.56 and 87,580.32 is: 120,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098.40 : 209,894.56 = 87,580.32 : x
  2. Step 2: Convert to fraction form
    152,098.40/209,894.56 = 87,580.32/x
  3. Step 3: Cross multiply
    152,098.40x = 209,894.56 × 87,580.32
  4. Step 4: Simplify right side
    152,098.40x = 18,382,632,731.06
  5. Step 5: Solve for x
    x = 18,382,632,731.06/152,098.40
  6. Step 6: Final answer
    x = 120,860.13

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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.