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Finding the Fourth Proportional to 153,774.84, 230,461.30 and 78,831.48

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Solution

The fourth proportional to 153,774.84, 230,461.30 and 78,831.48 is: 118,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,774.84 : 230,461.30 = 78,831.48 : x
  2. Step 2: Convert to fraction form
    153,774.84/230,461.30 = 78,831.48/x
  3. Step 3: Cross multiply
    153,774.84x = 230,461.30 × 78,831.48
  4. Step 4: Simplify right side
    153,774.84x = 18,167,605,361.72
  5. Step 5: Solve for x
    x = 18,167,605,361.72/153,774.84
  6. Step 6: Final answer
    x = 118,144.20

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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.