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Finding the Fourth Proportional to 65,130, 97,699.16 and 18,386.52

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Solution

The fourth proportional to 65,130, 97,699.16 and 18,386.52 is: 27,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130 : 97,699.16 = 18,386.52 : x
  2. Step 2: Convert to fraction form
    65,130/97,699.16 = 18,386.52/x
  3. Step 3: Cross multiply
    65,130x = 97,699.16 × 18,386.52
  4. Step 4: Simplify right side
    65,130x = 1,796,347,559.32
  5. Step 5: Solve for x
    x = 1,796,347,559.32/65,130
  6. Step 6: Final answer
    x = 27,580.95

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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.