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Finding the Fourth Proportional to 145,970.84, 218,796.31 and 57,126.70

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Solution

The fourth proportional to 145,970.84, 218,796.31 and 57,126.70 is: 85,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,970.84 : 218,796.31 = 57,126.70 : x
  2. Step 2: Convert to fraction form
    145,970.84/218,796.31 = 57,126.70/x
  3. Step 3: Cross multiply
    145,970.84x = 218,796.31 × 57,126.70
  4. Step 4: Simplify right side
    145,970.84x = 12,499,111,162.48
  5. Step 5: Solve for x
    x = 12,499,111,162.48/145,970.84
  6. Step 6: Final answer
    x = 85,627.45

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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.