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Finding the Fourth Proportional to 86,490, 119,356.20 and 46,746

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Solution

The fourth proportional to 86,490, 119,356.20 and 46,746 is: 64,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 119,356.20 = 46,746 : x
  2. Step 2: Convert to fraction form
    86,490/119,356.20 = 46,746/x
  3. Step 3: Cross multiply
    86,490x = 119,356.20 × 46,746
  4. Step 4: Simplify right side
    86,490x = 5,579,424,925.20
  5. Step 5: Solve for x
    x = 5,579,424,925.20/86,490
  6. Step 6: Final answer
    x = 64,509.48

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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.