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Finding the Fourth Proportional to 137,483.51, 189,734.69 and 77,073.58

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Solution

The fourth proportional to 137,483.51, 189,734.69 and 77,073.58 is: 106,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,483.51 : 189,734.69 = 77,073.58 : x
  2. Step 2: Convert to fraction form
    137,483.51/189,734.69 = 77,073.58/x
  3. Step 3: Cross multiply
    137,483.51x = 189,734.69 × 77,073.58
  4. Step 4: Simplify right side
    137,483.51x = 14,623,531,334.15
  5. Step 5: Solve for x
    x = 14,623,531,334.15/137,483.51
  6. Step 6: Final answer
    x = 106,365.71

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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.