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Finding the Fourth Proportional to 152,148.66, 209,894.40 and 98,451

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Solution

The fourth proportional to 152,148.66, 209,894.40 and 98,451 is: 135,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,148.66 : 209,894.40 = 98,451 : x
  2. Step 2: Convert to fraction form
    152,148.66/209,894.40 = 98,451/x
  3. Step 3: Cross multiply
    152,148.66x = 209,894.40 × 98,451
  4. Step 4: Simplify right side
    152,148.66x = 20,664,313,574.40
  5. Step 5: Solve for x
    x = 20,664,313,574.40/152,148.66
  6. Step 6: Final answer
    x = 135,816.60

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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.