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Finding the Fourth Proportional to 102,009.53, 153,064.58 and 45,889.35

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Solution

The fourth proportional to 102,009.53, 153,064.58 and 45,889.35 is: 68,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.53 : 153,064.58 = 45,889.35 : x
  2. Step 2: Convert to fraction form
    102,009.53/153,064.58 = 45,889.35/x
  3. Step 3: Cross multiply
    102,009.53x = 153,064.58 × 45,889.35
  4. Step 4: Simplify right side
    102,009.53x = 7,024,033,854.78
  5. Step 5: Solve for x
    x = 7,024,033,854.78/102,009.53
  6. Step 6: Final answer
    x = 68,856.65

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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.