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Finding the Fourth Proportional to 138,412.42, 191,009.64 and 83,946.40

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Solution

The fourth proportional to 138,412.42, 191,009.64 and 83,946.40 is: 115,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.42 : 191,009.64 = 83,946.40 : x
  2. Step 2: Convert to fraction form
    138,412.42/191,009.64 = 83,946.40/x
  3. Step 3: Cross multiply
    138,412.42x = 191,009.64 × 83,946.40
  4. Step 4: Simplify right side
    138,412.42x = 16,034,571,643.30
  5. Step 5: Solve for x
    x = 16,034,571,643.30/138,412.42
  6. Step 6: Final answer
    x = 115,846.34

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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.