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Finding the Fourth Proportional to 70,436.48, 105,689.12 and 30,988.68

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Solution

The fourth proportional to 70,436.48, 105,689.12 and 30,988.68 is: 46,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,436.48 : 105,689.12 = 30,988.68 : x
  2. Step 2: Convert to fraction form
    70,436.48/105,689.12 = 30,988.68/x
  3. Step 3: Cross multiply
    70,436.48x = 105,689.12 × 30,988.68
  4. Step 4: Simplify right side
    70,436.48x = 3,275,166,319.16
  5. Step 5: Solve for x
    x = 3,275,166,319.16/70,436.48
  6. Step 6: Final answer
    x = 46,498.15

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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.