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Finding the Fourth Proportional to 208,482.80, 287,706.20 and 112,989.50

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Solution

The fourth proportional to 208,482.80, 287,706.20 and 112,989.50 is: 155,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,482.80 : 287,706.20 = 112,989.50 : x
  2. Step 2: Convert to fraction form
    208,482.80/287,706.20 = 112,989.50/x
  3. Step 3: Cross multiply
    208,482.80x = 287,706.20 × 112,989.50
  4. Step 4: Simplify right side
    208,482.80x = 32,507,779,684.90
  5. Step 5: Solve for x
    x = 32,507,779,684.90/208,482.80
  6. Step 6: Final answer
    x = 155,925.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.