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Finding the Fourth Proportional to 153,309.50, 229,964.25 and 42,501.50

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Solution

The fourth proportional to 153,309.50, 229,964.25 and 42,501.50 is: 63,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.50 : 229,964.25 = 42,501.50 : x
  2. Step 2: Convert to fraction form
    153,309.50/229,964.25 = 42,501.50/x
  3. Step 3: Cross multiply
    153,309.50x = 229,964.25 × 42,501.50
  4. Step 4: Simplify right side
    153,309.50x = 9,773,825,571.38
  5. Step 5: Solve for x
    x = 9,773,825,571.38/153,309.50
  6. Step 6: Final answer
    x = 63,752.25

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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.