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Finding the Fourth Proportional to 103,538.40, 155,307.60 and 99,164.40

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Solution

The fourth proportional to 103,538.40, 155,307.60 and 99,164.40 is: 148,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,538.40 : 155,307.60 = 99,164.40 : x
  2. Step 2: Convert to fraction form
    103,538.40/155,307.60 = 99,164.40/x
  3. Step 3: Cross multiply
    103,538.40x = 155,307.60 × 99,164.40
  4. Step 4: Simplify right side
    103,538.40x = 15,400,984,969.44
  5. Step 5: Solve for x
    x = 15,400,984,969.44/103,538.40
  6. Step 6: Final answer
    x = 148,746.60

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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.