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Finding the Fourth Proportional to 208,085.49, 287,158.13 and 144,460.19

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Solution

The fourth proportional to 208,085.49, 287,158.13 and 144,460.19 is: 199,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,085.49 : 287,158.13 = 144,460.19 : x
  2. Step 2: Convert to fraction form
    208,085.49/287,158.13 = 144,460.19/x
  3. Step 3: Cross multiply
    208,085.49x = 287,158.13 × 144,460.19
  4. Step 4: Simplify right side
    208,085.49x = 41,482,918,019.84
  5. Step 5: Solve for x
    x = 41,482,918,019.84/208,085.49
  6. Step 6: Final answer
    x = 199,355.17

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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.