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Finding the Fourth Proportional to 118,689.94, 178,047.03 and 39,812.02

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Solution

The fourth proportional to 118,689.94, 178,047.03 and 39,812.02 is: 59,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,689.94 : 178,047.03 = 39,812.02 : x
  2. Step 2: Convert to fraction form
    118,689.94/178,047.03 = 39,812.02/x
  3. Step 3: Cross multiply
    118,689.94x = 178,047.03 × 39,812.02
  4. Step 4: Simplify right side
    118,689.94x = 7,088,411,919.30
  5. Step 5: Solve for x
    x = 7,088,411,919.30/118,689.94
  6. Step 6: Final answer
    x = 59,722.10

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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.