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Finding the Fourth Proportional to 145,863.78, 218,795.71 and 46,031.76

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Solution

The fourth proportional to 145,863.78, 218,795.71 and 46,031.76 is: 69,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.78 : 218,795.71 = 46,031.76 : x
  2. Step 2: Convert to fraction form
    145,863.78/218,795.71 = 46,031.76/x
  3. Step 3: Cross multiply
    145,863.78x = 218,795.71 × 46,031.76
  4. Step 4: Simplify right side
    145,863.78x = 10,071,551,611.75
  5. Step 5: Solve for x
    x = 10,071,551,611.75/145,863.78
  6. Step 6: Final answer
    x = 69,047.65

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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.