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Finding the Fourth Proportional to 145,863.76, 201,292.16 and 78,795.76

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Solution

The fourth proportional to 145,863.76, 201,292.16 and 78,795.76 is: 108,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.76 : 201,292.16 = 78,795.76 : x
  2. Step 2: Convert to fraction form
    145,863.76/201,292.16 = 78,795.76/x
  3. Step 3: Cross multiply
    145,863.76x = 201,292.16 × 78,795.76
  4. Step 4: Simplify right side
    145,863.76x = 15,860,968,729.24
  5. Step 5: Solve for x
    x = 15,860,968,729.24/145,863.76
  6. Step 6: Final answer
    x = 108,738.24

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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.