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Finding the Fourth Proportional to 135,705.60, 187,266.60 and 75,271.50

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Solution

The fourth proportional to 135,705.60, 187,266.60 and 75,271.50 is: 103,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,705.60 : 187,266.60 = 75,271.50 : x
  2. Step 2: Convert to fraction form
    135,705.60/187,266.60 = 75,271.50/x
  3. Step 3: Cross multiply
    135,705.60x = 187,266.60 × 75,271.50
  4. Step 4: Simplify right side
    135,705.60x = 14,095,837,881.90
  5. Step 5: Solve for x
    x = 14,095,837,881.90/135,705.60
  6. Step 6: Final answer
    x = 103,870.72

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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.