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Finding the Fourth Proportional to 135,706.50, 187,275.06 and 76,090.50

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Solution

The fourth proportional to 135,706.50, 187,275.06 and 76,090.50 is: 105,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,706.50 : 187,275.06 = 76,090.50 : x
  2. Step 2: Convert to fraction form
    135,706.50/187,275.06 = 76,090.50/x
  3. Step 3: Cross multiply
    135,706.50x = 187,275.06 × 76,090.50
  4. Step 4: Simplify right side
    135,706.50x = 14,249,852,952.93
  5. Step 5: Solve for x
    x = 14,249,852,952.93/135,706.50
  6. Step 6: Final answer
    x = 105,004.94

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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.