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Finding the Fourth Proportional to 208,482.35, 287,706.65 and 112,989.02

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Solution

The fourth proportional to 208,482.35, 287,706.65 and 112,989.02 is: 155,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,482.35 : 287,706.65 = 112,989.02 : x
  2. Step 2: Convert to fraction form
    208,482.35/287,706.65 = 112,989.02/x
  3. Step 3: Cross multiply
    208,482.35x = 287,706.65 × 112,989.02
  4. Step 4: Simplify right side
    208,482.35x = 32,507,690,427.50
  5. Step 5: Solve for x
    x = 32,507,690,427.50/208,482.35
  6. Step 6: Final answer
    x = 155,925.39

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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.