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Finding the Fourth Proportional to 145,810.25, 201,218.15 and 78,742.25

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Solution

The fourth proportional to 145,810.25, 201,218.15 and 78,742.25 is: 108,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.25 : 201,218.15 = 78,742.25 : x
  2. Step 2: Convert to fraction form
    145,810.25/201,218.15 = 78,742.25/x
  3. Step 3: Cross multiply
    145,810.25x = 201,218.15 × 78,742.25
  4. Step 4: Simplify right side
    145,810.25x = 15,844,369,871.84
  5. Step 5: Solve for x
    x = 15,844,369,871.84/145,810.25
  6. Step 6: Final answer
    x = 108,664.31

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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.