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Finding the Fourth Proportional to 145,908, 201,353.04 and 78,840

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Solution

The fourth proportional to 145,908, 201,353.04 and 78,840 is: 108,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908 : 201,353.04 = 78,840 : x
  2. Step 2: Convert to fraction form
    145,908/201,353.04 = 78,840/x
  3. Step 3: Cross multiply
    145,908x = 201,353.04 × 78,840
  4. Step 4: Simplify right side
    145,908x = 15,874,673,673.60
  5. Step 5: Solve for x
    x = 15,874,673,673.60/145,908
  6. Step 6: Final answer
    x = 108,799.20

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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.