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Finding the Fourth Proportional to 102,866.51, 154,298.64 and 78,058.91

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Solution

The fourth proportional to 102,866.51, 154,298.64 and 78,058.91 is: 117,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866.51 : 154,298.64 = 78,058.91 : x
  2. Step 2: Convert to fraction form
    102,866.51/154,298.64 = 78,058.91/x
  3. Step 3: Cross multiply
    102,866.51x = 154,298.64 × 78,058.91
  4. Step 4: Simplify right side
    102,866.51x = 12,044,382,881.39
  5. Step 5: Solve for x
    x = 12,044,382,881.39/102,866.51
  6. Step 6: Final answer
    x = 117,087.51

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1.5x scale

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.