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Finding the Fourth Proportional to 142,054.92, 213,117.08 and 47,284.92

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Solution

The fourth proportional to 142,054.92, 213,117.08 and 47,284.92 is: 70,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.92 : 213,117.08 = 47,284.92 : x
  2. Step 2: Convert to fraction form
    142,054.92/213,117.08 = 47,284.92/x
  3. Step 3: Cross multiply
    142,054.92x = 213,117.08 × 47,284.92
  4. Step 4: Simplify right side
    142,054.92x = 10,077,223,842.01
  5. Step 5: Solve for x
    x = 10,077,223,842.01/142,054.92
  6. Step 6: Final answer
    x = 70,938.93

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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.