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Finding the Fourth Proportional to 287,802.86, 431,671.08 and 77,424.26

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Solution

The fourth proportional to 287,802.86, 431,671.08 and 77,424.26 is: 116,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,802.86 : 431,671.08 = 77,424.26 : x
  2. Step 2: Convert to fraction form
    287,802.86/431,671.08 = 77,424.26/x
  3. Step 3: Cross multiply
    287,802.86x = 431,671.08 × 77,424.26
  4. Step 4: Simplify right side
    287,802.86x = 33,421,813,932.40
  5. Step 5: Solve for x
    x = 33,421,813,932.40/287,802.86
  6. Step 6: Final answer
    x = 116,127.46

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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.