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Finding the Fourth Proportional to 131,492.96, 197,210.64 and 37,978.40

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Solution

The fourth proportional to 131,492.96, 197,210.64 and 37,978.40 is: 56,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,492.96 : 197,210.64 = 37,978.40 : x
  2. Step 2: Convert to fraction form
    131,492.96/197,210.64 = 37,978.40/x
  3. Step 3: Cross multiply
    131,492.96x = 197,210.64 × 37,978.40
  4. Step 4: Simplify right side
    131,492.96x = 7,489,744,570.18
  5. Step 5: Solve for x
    x = 7,489,744,570.18/131,492.96
  6. Step 6: Final answer
    x = 56,959.28

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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.