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Finding the Fourth Proportional to 153,152.59, 211,319.61 and 89,478.10

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Solution

The fourth proportional to 153,152.59, 211,319.61 and 89,478.10 is: 123,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,152.59 : 211,319.61 = 89,478.10 : x
  2. Step 2: Convert to fraction form
    153,152.59/211,319.61 = 89,478.10/x
  3. Step 3: Cross multiply
    153,152.59x = 211,319.61 × 89,478.10
  4. Step 4: Simplify right side
    153,152.59x = 18,908,477,195.54
  5. Step 5: Solve for x
    x = 18,908,477,195.54/153,152.59
  6. Step 6: Final answer
    x = 123,461.69

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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.