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Finding the Fourth Proportional to 145,973.70, 201,443.60 and 78,905.70

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Solution

The fourth proportional to 145,973.70, 201,443.60 and 78,905.70 is: 108,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,973.70 : 201,443.60 = 78,905.70 : x
  2. Step 2: Convert to fraction form
    145,973.70/201,443.60 = 78,905.70/x
  3. Step 3: Cross multiply
    145,973.70x = 201,443.60 × 78,905.70
  4. Step 4: Simplify right side
    145,973.70x = 15,895,048,268.52
  5. Step 5: Solve for x
    x = 15,895,048,268.52/145,973.70
  6. Step 6: Final answer
    x = 108,889.81

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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.