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Finding the Fourth Proportional to 94,710.78, 142,089.30 and 31,530.78

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Solution

The fourth proportional to 94,710.78, 142,089.30 and 31,530.78 is: 47,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,710.78 : 142,089.30 = 31,530.78 : x
  2. Step 2: Convert to fraction form
    94,710.78/142,089.30 = 31,530.78/x
  3. Step 3: Cross multiply
    94,710.78x = 142,089.30 × 31,530.78
  4. Step 4: Simplify right side
    94,710.78x = 4,480,186,458.65
  5. Step 5: Solve for x
    x = 4,480,186,458.65/94,710.78
  6. Step 6: Final answer
    x = 47,303.87

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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.