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Finding the Fourth Proportional to 106,510.40, 159,571.20 and 86,681.60

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Solution

The fourth proportional to 106,510.40, 159,571.20 and 86,681.60 is: 129,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,510.40 : 159,571.20 = 86,681.60 : x
  2. Step 2: Convert to fraction form
    106,510.40/159,571.20 = 86,681.60/x
  3. Step 3: Cross multiply
    106,510.40x = 159,571.20 × 86,681.60
  4. Step 4: Simplify right side
    106,510.40x = 13,831,886,929.92
  5. Step 5: Solve for x
    x = 13,831,886,929.92/106,510.40
  6. Step 6: Final answer
    x = 129,864.19

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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.