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Finding the Fourth Proportional to 130,648.95, 195,477.93 and 77,369.53

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Solution

The fourth proportional to 130,648.95, 195,477.93 and 77,369.53 is: 115,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,648.95 : 195,477.93 = 77,369.53 : x
  2. Step 2: Convert to fraction form
    130,648.95/195,477.93 = 77,369.53/x
  3. Step 3: Cross multiply
    130,648.95x = 195,477.93 × 77,369.53
  4. Step 4: Simplify right side
    130,648.95x = 15,124,035,664.90
  5. Step 5: Solve for x
    x = 15,124,035,664.90/130,648.95
  6. Step 6: Final answer
    x = 115,760.87

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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.