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Finding the Fourth Proportional to 208,322.16, 287,485.92 and 112,830

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Solution

The fourth proportional to 208,322.16, 287,485.92 and 112,830 is: 155,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,322.16 : 287,485.92 = 112,830 : x
  2. Step 2: Convert to fraction form
    208,322.16/287,485.92 = 112,830/x
  3. Step 3: Cross multiply
    208,322.16x = 287,485.92 × 112,830
  4. Step 4: Simplify right side
    208,322.16x = 32,437,036,353.60
  5. Step 5: Solve for x
    x = 32,437,036,353.60/208,322.16
  6. Step 6: Final answer
    x = 155,706.13

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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.