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Finding the Fourth Proportional to 153,884.16, 230,854.32 and 70,776

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Solution

The fourth proportional to 153,884.16, 230,854.32 and 70,776 is: 106,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,884.16 : 230,854.32 = 70,776 : x
  2. Step 2: Convert to fraction form
    153,884.16/230,854.32 = 70,776/x
  3. Step 3: Cross multiply
    153,884.16x = 230,854.32 × 70,776
  4. Step 4: Simplify right side
    153,884.16x = 16,338,945,352.32
  5. Step 5: Solve for x
    x = 16,338,945,352.32/153,884.16
  6. Step 6: Final answer
    x = 106,176.91

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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.