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Finding the Fourth Proportional to 106,564.40, 160,235.40 and 89,457.20

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Solution

The fourth proportional to 106,564.40, 160,235.40 and 89,457.20 is: 134,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.40 : 160,235.40 = 89,457.20 : x
  2. Step 2: Convert to fraction form
    106,564.40/160,235.40 = 89,457.20/x
  3. Step 3: Cross multiply
    106,564.40x = 160,235.40 × 89,457.20
  4. Step 4: Simplify right side
    106,564.40x = 14,334,210,224.88
  5. Step 5: Solve for x
    x = 14,334,210,224.88/106,564.40
  6. Step 6: Final answer
    x = 134,512.18

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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.