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Finding the Fourth Proportional to 58,428, 87,643.62 and 16,875

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Solution

The fourth proportional to 58,428, 87,643.62 and 16,875 is: 25,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,428 : 87,643.62 = 16,875 : x
  2. Step 2: Convert to fraction form
    58,428/87,643.62 = 16,875/x
  3. Step 3: Cross multiply
    58,428x = 87,643.62 × 16,875
  4. Step 4: Simplify right side
    58,428x = 1,478,986,087.50
  5. Step 5: Solve for x
    x = 1,478,986,087.50/58,428
  6. Step 6: Final answer
    x = 25,312.97

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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.