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Finding the Fourth Proportional to 101,989.40, 153,038.78 and 42,831.05

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Solution

The fourth proportional to 101,989.40, 153,038.78 and 42,831.05 is: 64,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,989.40 : 153,038.78 = 42,831.05 : x
  2. Step 2: Convert to fraction form
    101,989.40/153,038.78 = 42,831.05/x
  3. Step 3: Cross multiply
    101,989.40x = 153,038.78 × 42,831.05
  4. Step 4: Simplify right side
    101,989.40x = 6,554,811,423.96
  5. Step 5: Solve for x
    x = 6,554,811,423.96/101,989.40
  6. Step 6: Final answer
    x = 64,269.54

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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.