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Finding the Fourth Proportional to 105,200.64, 157,792.32 and 31,328.64

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Solution

The fourth proportional to 105,200.64, 157,792.32 and 31,328.64 is: 46,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200.64 : 157,792.32 = 31,328.64 : x
  2. Step 2: Convert to fraction form
    105,200.64/157,792.32 = 31,328.64/x
  3. Step 3: Cross multiply
    105,200.64x = 157,792.32 × 31,328.64
  4. Step 4: Simplify right side
    105,200.64x = 4,943,418,788.04
  5. Step 5: Solve for x
    x = 4,943,418,788.04/105,200.64
  6. Step 6: Final answer
    x = 46,990.39

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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.