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Finding the Fourth Proportional to 187,807.40, 282,002.70 and 109,075.40

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Solution

The fourth proportional to 187,807.40, 282,002.70 and 109,075.40 is: 163,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,807.40 : 282,002.70 = 109,075.40 : x
  2. Step 2: Convert to fraction form
    187,807.40/282,002.70 = 109,075.40/x
  3. Step 3: Cross multiply
    187,807.40x = 282,002.70 × 109,075.40
  4. Step 4: Simplify right side
    187,807.40x = 30,759,557,303.58
  5. Step 5: Solve for x
    x = 30,759,557,303.58/187,807.40
  6. Step 6: Final answer
    x = 163,782.46

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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.