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Finding the Fourth Proportional to 145,810.76, 201,218.84 and 78,742.76

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Solution

The fourth proportional to 145,810.76, 201,218.84 and 78,742.76 is: 108,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.76 : 201,218.84 = 78,742.76 : x
  2. Step 2: Convert to fraction form
    145,810.76/201,218.84 = 78,742.76/x
  3. Step 3: Cross multiply
    145,810.76x = 201,218.84 × 78,742.76
  4. Step 4: Simplify right side
    145,810.76x = 15,844,526,825.60
  5. Step 5: Solve for x
    x = 15,844,526,825.60/145,810.76
  6. Step 6: Final answer
    x = 108,665.00

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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.