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Finding the Fourth Proportional to 46,978.16, 70,478.75 and 15,389.91

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Solution

The fourth proportional to 46,978.16, 70,478.75 and 15,389.91 is: 23,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.16 : 70,478.75 = 15,389.91 : x
  2. Step 2: Convert to fraction form
    46,978.16/70,478.75 = 15,389.91/x
  3. Step 3: Cross multiply
    46,978.16x = 70,478.75 × 15,389.91
  4. Step 4: Simplify right side
    46,978.16x = 1,084,661,542.46
  5. Step 5: Solve for x
    x = 1,084,661,542.46/46,978.16
  6. Step 6: Final answer
    x = 23,088.64

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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.