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Finding the Fourth Proportional to 108,523.94, 149,784 and 65,510.51

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Solution

The fourth proportional to 108,523.94, 149,784 and 65,510.51 is: 90,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,523.94 : 149,784 = 65,510.51 : x
  2. Step 2: Convert to fraction form
    108,523.94/149,784 = 65,510.51/x
  3. Step 3: Cross multiply
    108,523.94x = 149,784 × 65,510.51
  4. Step 4: Simplify right side
    108,523.94x = 9,812,426,229.84
  5. Step 5: Solve for x
    x = 9,812,426,229.84/108,523.94
  6. Step 6: Final answer
    x = 90,417.16

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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.