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Finding the Fourth Proportional to 101,138.76, 139,541.40 and 65,296.08

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Solution

The fourth proportional to 101,138.76, 139,541.40 and 65,296.08 is: 90,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.76 : 139,541.40 = 65,296.08 : x
  2. Step 2: Convert to fraction form
    101,138.76/139,541.40 = 65,296.08/x
  3. Step 3: Cross multiply
    101,138.76x = 139,541.40 × 65,296.08
  4. Step 4: Simplify right side
    101,138.76x = 9,111,506,417.71
  5. Step 5: Solve for x
    x = 9,111,506,417.71/101,138.76
  6. Step 6: Final answer
    x = 90,089.16

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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.