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Finding the Fourth Proportional to 102,643.20, 153,964.80 and 74,430.90

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Solution

The fourth proportional to 102,643.20, 153,964.80 and 74,430.90 is: 111,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,643.20 : 153,964.80 = 74,430.90 : x
  2. Step 2: Convert to fraction form
    102,643.20/153,964.80 = 74,430.90/x
  3. Step 3: Cross multiply
    102,643.20x = 153,964.80 × 74,430.90
  4. Step 4: Simplify right side
    102,643.20x = 11,459,738,632.32
  5. Step 5: Solve for x
    x = 11,459,738,632.32/102,643.20
  6. Step 6: Final answer
    x = 111,646.35

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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.