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Finding the Fourth Proportional to 110,328.32, 165,492.54 and 77,113.23

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Solution

The fourth proportional to 110,328.32, 165,492.54 and 77,113.23 is: 115,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,328.32 : 165,492.54 = 77,113.23 : x
  2. Step 2: Convert to fraction form
    110,328.32/165,492.54 = 77,113.23/x
  3. Step 3: Cross multiply
    110,328.32x = 165,492.54 × 77,113.23
  4. Step 4: Simplify right side
    110,328.32x = 12,761,664,300.30
  5. Step 5: Solve for x
    x = 12,761,664,300.30/110,328.32
  6. Step 6: Final answer
    x = 115,669.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.