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Finding the Fourth Proportional to 105,099.40, 157,649.10 and 49,803.40

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Solution

The fourth proportional to 105,099.40, 157,649.10 and 49,803.40 is: 74,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,099.40 : 157,649.10 = 49,803.40 : x
  2. Step 2: Convert to fraction form
    105,099.40/157,649.10 = 49,803.40/x
  3. Step 3: Cross multiply
    105,099.40x = 157,649.10 × 49,803.40
  4. Step 4: Simplify right side
    105,099.40x = 7,851,461,186.94
  5. Step 5: Solve for x
    x = 7,851,461,186.94/105,099.40
  6. Step 6: Final answer
    x = 74,705.10

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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.