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Finding the Fourth Proportional to 127,875, 191,840.19 and 48,989.23

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Solution

The fourth proportional to 127,875, 191,840.19 and 48,989.23 is: 73,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,875 : 191,840.19 = 48,989.23 : x
  2. Step 2: Convert to fraction form
    127,875/191,840.19 = 48,989.23/x
  3. Step 3: Cross multiply
    127,875x = 191,840.19 × 48,989.23
  4. Step 4: Simplify right side
    127,875x = 9,398,103,191.15
  5. Step 5: Solve for x
    x = 9,398,103,191.15/127,875
  6. Step 6: Final answer
    x = 73,494.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.