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Finding the Fourth Proportional to 208,145.96, 287,242.26 and 112,652.63

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Solution

The fourth proportional to 208,145.96, 287,242.26 and 112,652.63 is: 155,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,145.96 : 287,242.26 = 112,652.63 : x
  2. Step 2: Convert to fraction form
    208,145.96/287,242.26 = 112,652.63/x
  3. Step 3: Cross multiply
    208,145.96x = 287,242.26 × 112,652.63
  4. Step 4: Simplify right side
    208,145.96x = 32,358,596,036.14
  5. Step 5: Solve for x
    x = 32,358,596,036.14/208,145.96
  6. Step 6: Final answer
    x = 155,461.08

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1.5x scale

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.