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Finding the Fourth Proportional to 147,315.84, 203,260.48 and 86,881.60

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Solution

The fourth proportional to 147,315.84, 203,260.48 and 86,881.60 is: 119,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,315.84 : 203,260.48 = 86,881.60 : x
  2. Step 2: Convert to fraction form
    147,315.84/203,260.48 = 86,881.60/x
  3. Step 3: Cross multiply
    147,315.84x = 203,260.48 × 86,881.60
  4. Step 4: Simplify right side
    147,315.84x = 17,659,595,719.17
  5. Step 5: Solve for x
    x = 17,659,595,719.17/147,315.84
  6. Step 6: Final answer
    x = 119,875.74

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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.