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Finding the Fourth Proportional to 135,903.36, 187,547.76 and 75,475

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Solution

The fourth proportional to 135,903.36, 187,547.76 and 75,475 is: 104,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903.36 : 187,547.76 = 75,475 : x
  2. Step 2: Convert to fraction form
    135,903.36/187,547.76 = 75,475/x
  3. Step 3: Cross multiply
    135,903.36x = 187,547.76 × 75,475
  4. Step 4: Simplify right side
    135,903.36x = 14,155,167,186
  5. Step 5: Solve for x
    x = 14,155,167,186/135,903.36
  6. Step 6: Final answer
    x = 104,156.12

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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.