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Finding the Fourth Proportional to 145,810.50, 201,218.50 and 78,742.50

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Solution

The fourth proportional to 145,810.50, 201,218.50 and 78,742.50 is: 108,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.50 : 201,218.50 = 78,742.50 : x
  2. Step 2: Convert to fraction form
    145,810.50/201,218.50 = 78,742.50/x
  3. Step 3: Cross multiply
    145,810.50x = 201,218.50 × 78,742.50
  4. Step 4: Simplify right side
    145,810.50x = 15,844,447,736.25
  5. Step 5: Solve for x
    x = 15,844,447,736.25/145,810.50
  6. Step 6: Final answer
    x = 108,664.66

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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.