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Finding the Fourth Proportional to 147,117.64, 203,020.46 and 86,690.84

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Solution

The fourth proportional to 147,117.64, 203,020.46 and 86,690.84 is: 119,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,117.64 : 203,020.46 = 86,690.84 : x
  2. Step 2: Convert to fraction form
    147,117.64/203,020.46 = 86,690.84/x
  3. Step 3: Cross multiply
    147,117.64x = 203,020.46 × 86,690.84
  4. Step 4: Simplify right side
    147,117.64x = 17,600,014,214.59
  5. Step 5: Solve for x
    x = 17,600,014,214.59/147,117.64
  6. Step 6: Final answer
    x = 119,632.25

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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.