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Finding the Fourth Proportional to 208,083, 287,152.48 and 112,587.60

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Solution

The fourth proportional to 208,083, 287,152.48 and 112,587.60 is: 155,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083 : 287,152.48 = 112,587.60 : x
  2. Step 2: Convert to fraction form
    208,083/287,152.48 = 112,587.60/x
  3. Step 3: Cross multiply
    208,083x = 287,152.48 × 112,587.60
  4. Step 4: Simplify right side
    208,083x = 32,329,808,557.25
  5. Step 5: Solve for x
    x = 32,329,808,557.25/208,083
  6. Step 6: Final answer
    x = 155,369.77

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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.