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Finding the Fourth Proportional to 78,460.79, 108,291.47 and 46,623.51

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Solution

The fourth proportional to 78,460.79, 108,291.47 and 46,623.51 is: 64,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,460.79 : 108,291.47 = 46,623.51 : x
  2. Step 2: Convert to fraction form
    78,460.79/108,291.47 = 46,623.51/x
  3. Step 3: Cross multiply
    78,460.79x = 108,291.47 × 46,623.51
  4. Step 4: Simplify right side
    78,460.79x = 5,048,928,201.34
  5. Step 5: Solve for x
    x = 5,048,928,201.34/78,460.79
  6. Step 6: Final answer
    x = 64,349.70

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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.