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Finding the Fourth Proportional to 106,809.60, 160,214.40 and 97,478.40

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Solution

The fourth proportional to 106,809.60, 160,214.40 and 97,478.40 is: 146,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.60 : 160,214.40 = 97,478.40 : x
  2. Step 2: Convert to fraction form
    106,809.60/160,214.40 = 97,478.40/x
  3. Step 3: Cross multiply
    106,809.60x = 160,214.40 × 97,478.40
  4. Step 4: Simplify right side
    106,809.60x = 15,617,443,368.96
  5. Step 5: Solve for x
    x = 15,617,443,368.96/106,809.60
  6. Step 6: Final answer
    x = 146,217.60

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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.