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Finding the Fourth Proportional to 70,639.50, 97,491.18 and 40,831.50

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Solution

The fourth proportional to 70,639.50, 97,491.18 and 40,831.50 is: 56,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,639.50 : 97,491.18 = 40,831.50 : x
  2. Step 2: Convert to fraction form
    70,639.50/97,491.18 = 40,831.50/x
  3. Step 3: Cross multiply
    70,639.50x = 97,491.18 × 40,831.50
  4. Step 4: Simplify right side
    70,639.50x = 3,980,711,116.17
  5. Step 5: Solve for x
    x = 3,980,711,116.17/70,639.50
  6. Step 6: Final answer
    x = 56,352.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.