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Finding the Fourth Proportional to 208,143.65, 287,239.08 and 112,650.32

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Solution

The fourth proportional to 208,143.65, 287,239.08 and 112,650.32 is: 155,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.65 : 287,239.08 = 112,650.32 : x
  2. Step 2: Convert to fraction form
    208,143.65/287,239.08 = 112,650.32/x
  3. Step 3: Cross multiply
    208,143.65x = 287,239.08 × 112,650.32
  4. Step 4: Simplify right side
    208,143.65x = 32,357,574,278.51
  5. Step 5: Solve for x
    x = 32,357,574,278.51/208,143.65
  6. Step 6: Final answer
    x = 155,457.90

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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.