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Finding the Fourth Proportional to 74,688, 103,071.60 and 41,156.16

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Solution

The fourth proportional to 74,688, 103,071.60 and 41,156.16 is: 56,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,688 : 103,071.60 = 41,156.16 : x
  2. Step 2: Convert to fraction form
    74,688/103,071.60 = 41,156.16/x
  3. Step 3: Cross multiply
    74,688x = 103,071.60 × 41,156.16
  4. Step 4: Simplify right side
    74,688x = 4,242,031,261.06
  5. Step 5: Solve for x
    x = 4,242,031,261.06/74,688
  6. Step 6: Final answer
    x = 56,796.69

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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.