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Finding the Fourth Proportional to 130,415.40, 195,860.70 and 77,927.40

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Solution

The fourth proportional to 130,415.40, 195,860.70 and 77,927.40 is: 117,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,415.40 : 195,860.70 = 77,927.40 : x
  2. Step 2: Convert to fraction form
    130,415.40/195,860.70 = 77,927.40/x
  3. Step 3: Cross multiply
    130,415.40x = 195,860.70 × 77,927.40
  4. Step 4: Simplify right side
    130,415.40x = 15,262,915,113.18
  5. Step 5: Solve for x
    x = 15,262,915,113.18/130,415.40
  6. Step 6: Final answer
    x = 117,033.07

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1.5x scale

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.