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Finding the Fourth Proportional to 78,119.93, 116,493.90 and 77,409.50

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Solution

The fourth proportional to 78,119.93, 116,493.90 and 77,409.50 is: 115,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.93 : 116,493.90 = 77,409.50 : x
  2. Step 2: Convert to fraction form
    78,119.93/116,493.90 = 77,409.50/x
  3. Step 3: Cross multiply
    78,119.93x = 116,493.90 × 77,409.50
  4. Step 4: Simplify right side
    78,119.93x = 9,017,733,969.58
  5. Step 5: Solve for x
    x = 9,017,733,969.58/78,119.93
  6. Step 6: Final answer
    x = 115,434.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.