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Finding the Fourth Proportional to 102,290.70, 153,432.42 and 31,210.47

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Solution

The fourth proportional to 102,290.70, 153,432.42 and 31,210.47 is: 46,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,290.70 : 153,432.42 = 31,210.47 : x
  2. Step 2: Convert to fraction form
    102,290.70/153,432.42 = 31,210.47/x
  3. Step 3: Cross multiply
    102,290.70x = 153,432.42 × 31,210.47
  4. Step 4: Simplify right side
    102,290.70x = 4,788,697,941.44
  5. Step 5: Solve for x
    x = 4,788,697,941.44/102,290.70
  6. Step 6: Final answer
    x = 46,814.60

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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.