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Finding the Fourth Proportional to 105,098.40, 157,491.84 and 86,510.40

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Solution

The fourth proportional to 105,098.40, 157,491.84 and 86,510.40 is: 129,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.40 : 157,491.84 = 86,510.40 : x
  2. Step 2: Convert to fraction form
    105,098.40/157,491.84 = 86,510.40/x
  3. Step 3: Cross multiply
    105,098.40x = 157,491.84 × 86,510.40
  4. Step 4: Simplify right side
    105,098.40x = 13,624,682,075.14
  5. Step 5: Solve for x
    x = 13,624,682,075.14/105,098.40
  6. Step 6: Final answer
    x = 129,637.39

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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.