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Finding the Fourth Proportional to 145,858.30, 201,284.58 and 78,790.30

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Solution

The fourth proportional to 145,858.30, 201,284.58 and 78,790.30 is: 108,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858.30 : 201,284.58 = 78,790.30 : x
  2. Step 2: Convert to fraction form
    145,858.30/201,284.58 = 78,790.30/x
  3. Step 3: Cross multiply
    145,858.30x = 201,284.58 × 78,790.30
  4. Step 4: Simplify right side
    145,858.30x = 15,859,272,443.57
  5. Step 5: Solve for x
    x = 15,859,272,443.57/145,858.30
  6. Step 6: Final answer
    x = 108,730.68

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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.