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Finding the Fourth Proportional to 70,530.78, 97,317.27 and 40,705.50

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Solution

The fourth proportional to 70,530.78, 97,317.27 and 40,705.50 is: 56,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.78 : 97,317.27 = 40,705.50 : x
  2. Step 2: Convert to fraction form
    70,530.78/97,317.27 = 40,705.50/x
  3. Step 3: Cross multiply
    70,530.78x = 97,317.27 × 40,705.50
  4. Step 4: Simplify right side
    70,530.78x = 3,961,348,133.99
  5. Step 5: Solve for x
    x = 3,961,348,133.99/70,530.78
  6. Step 6: Final answer
    x = 56,164.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.