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Finding the Fourth Proportional to 259,875, 358,627.50 and 140,643

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Solution

The fourth proportional to 259,875, 358,627.50 and 140,643 is: 194,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,875 : 358,627.50 = 140,643 : x
  2. Step 2: Convert to fraction form
    259,875/358,627.50 = 140,643/x
  3. Step 3: Cross multiply
    259,875x = 358,627.50 × 140,643
  4. Step 4: Simplify right side
    259,875x = 50,438,447,482.50
  5. Step 5: Solve for x
    x = 50,438,447,482.50/259,875
  6. Step 6: Final answer
    x = 194,087.34

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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.