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Finding the Fourth Proportional to 105,066.40, 157,599.60 and 42,781.60

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Solution

The fourth proportional to 105,066.40, 157,599.60 and 42,781.60 is: 64,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,066.40 : 157,599.60 = 42,781.60 : x
  2. Step 2: Convert to fraction form
    105,066.40/157,599.60 = 42,781.60/x
  3. Step 3: Cross multiply
    105,066.40x = 157,599.60 × 42,781.60
  4. Step 4: Simplify right side
    105,066.40x = 6,742,363,047.36
  5. Step 5: Solve for x
    x = 6,742,363,047.36/105,066.40
  6. Step 6: Final answer
    x = 64,172.40

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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.