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Finding the Fourth Proportional to 145,984.80, 201,458.94 and 78,916.80

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Solution

The fourth proportional to 145,984.80, 201,458.94 and 78,916.80 is: 108,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,984.80 : 201,458.94 = 78,916.80 : x
  2. Step 2: Convert to fraction form
    145,984.80/201,458.94 = 78,916.80/x
  3. Step 3: Cross multiply
    145,984.80x = 201,458.94 × 78,916.80
  4. Step 4: Simplify right side
    145,984.80x = 15,898,494,876.19
  5. Step 5: Solve for x
    x = 15,898,494,876.19/145,984.80
  6. Step 6: Final answer
    x = 108,905.14

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1.5x scale

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.