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Finding the Fourth Proportional to 135,510.88, 187,018.86 and 78,152.44

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Solution

The fourth proportional to 135,510.88, 187,018.86 and 78,152.44 is: 107,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,510.88 : 187,018.86 = 78,152.44 : x
  2. Step 2: Convert to fraction form
    135,510.88/187,018.86 = 78,152.44/x
  3. Step 3: Cross multiply
    135,510.88x = 187,018.86 × 78,152.44
  4. Step 4: Simplify right side
    135,510.88x = 14,615,980,235.02
  5. Step 5: Solve for x
    x = 14,615,980,235.02/135,510.88
  6. Step 6: Final answer
    x = 107,858.35

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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.