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Finding the Fourth Proportional to 142,345.61, 213,527.22 and 47,584.32

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Solution

The fourth proportional to 142,345.61, 213,527.22 and 47,584.32 is: 71,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,345.61 : 213,527.22 = 47,584.32 : x
  2. Step 2: Convert to fraction form
    142,345.61/213,527.22 = 47,584.32/x
  3. Step 3: Cross multiply
    142,345.61x = 213,527.22 × 47,584.32
  4. Step 4: Simplify right side
    142,345.61x = 10,160,547,565.19
  5. Step 5: Solve for x
    x = 10,160,547,565.19/142,345.61
  6. Step 6: Final answer
    x = 71,379.42

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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.