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Finding the Fourth Proportional to 124,875.84, 186,868.80 and 100,075.20

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Solution

The fourth proportional to 124,875.84, 186,868.80 and 100,075.20 is: 149,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,875.84 : 186,868.80 = 100,075.20 : x
  2. Step 2: Convert to fraction form
    124,875.84/186,868.80 = 100,075.20/x
  3. Step 3: Cross multiply
    124,875.84x = 186,868.80 × 100,075.20
  4. Step 4: Simplify right side
    124,875.84x = 18,700,932,533.76
  5. Step 5: Solve for x
    x = 18,700,932,533.76/124,875.84
  6. Step 6: Final answer
    x = 149,756.21

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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.