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Finding the Fourth Proportional to 208,136.34, 287,228.13 and 112,643.06

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Solution

The fourth proportional to 208,136.34, 287,228.13 and 112,643.06 is: 155,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,136.34 : 287,228.13 = 112,643.06 : x
  2. Step 2: Convert to fraction form
    208,136.34/287,228.13 = 112,643.06/x
  3. Step 3: Cross multiply
    208,136.34x = 287,228.13 × 112,643.06
  4. Step 4: Simplify right side
    208,136.34x = 32,354,254,045.14
  5. Step 5: Solve for x
    x = 32,354,254,045.14/208,136.34
  6. Step 6: Final answer
    x = 155,447.41

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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.