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Finding the Fourth Proportional to 153,152.32, 229,728.48 and 69,988

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Solution

The fourth proportional to 153,152.32, 229,728.48 and 69,988 is: 104,982

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,152.32 : 229,728.48 = 69,988 : x
  2. Step 2: Convert to fraction form
    153,152.32/229,728.48 = 69,988/x
  3. Step 3: Cross multiply
    153,152.32x = 229,728.48 × 69,988
  4. Step 4: Simplify right side
    153,152.32x = 16,078,236,858.24
  5. Step 5: Solve for x
    x = 16,078,236,858.24/153,152.32
  6. Step 6: Final answer
    x = 104,982

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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.