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Finding the Fourth Proportional to 208,140, 287,232.66 and 112,646.67

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Solution

The fourth proportional to 208,140, 287,232.66 and 112,646.67 is: 155,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,140 : 287,232.66 = 112,646.67 : x
  2. Step 2: Convert to fraction form
    208,140/287,232.66 = 112,646.67/x
  3. Step 3: Cross multiply
    208,140x = 287,232.66 × 112,646.67
  4. Step 4: Simplify right side
    208,140x = 32,355,802,664.24
  5. Step 5: Solve for x
    x = 32,355,802,664.24/208,140
  6. Step 6: Final answer
    x = 155,452.11

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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.