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Finding the Fourth Proportional to 153,152.33, 229,728.51 and 47,979.50

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Solution

The fourth proportional to 153,152.33, 229,728.51 and 47,979.50 is: 71,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,152.33 : 229,728.51 = 47,979.50 : x
  2. Step 2: Convert to fraction form
    153,152.33/229,728.51 = 47,979.50/x
  3. Step 3: Cross multiply
    153,152.33x = 229,728.51 × 47,979.50
  4. Step 4: Simplify right side
    153,152.33x = 11,022,259,045.55
  5. Step 5: Solve for x
    x = 11,022,259,045.55/153,152.33
  6. Step 6: Final answer
    x = 71,969.25

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1.5x scale

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.